Reachability Games on Extended Vector Addition Systems with States

Abstract:

We consider two-player turn-based games with zero-reachability and zero-safety objectives generated by extended vector addition systems with states. Although the problem of deciding the winner in such games is undecidable in general, we identify several decidable and even tractable subcases of this problem obtained by restricting the number of counters and/or the sets of target configurations.

MFCS`98 Workshop on Concurrency - Preproceedings

by Petr Jančar,
Mojmír Křetínský,
Pre-proceedings of the MFCS`98 Workshop on Concurrency (the PS file is NOT provided, as it is too large (approx. 30MB); take pdf (3.5 MB) instead). July 1998, 209 pages.

Abstract:

This volume contains the pre-proceedings of the MFCS`98 Workshop on Concurrency, which took place in Brno, Czech Republic, August 27-29, 1998, as a satellite event of the 23rd international symposium on Mathematical Foundations of Computer Science. It is composed of two invited papers delivered by Javier Esparza (Munich) and Faron Moller (Uppsala), and of 17 contributed papers selected out of 24 submissions. The revised (and full) version of the proceedings should appear as a volume of Electronic Notes in Theoretical Computer Science (Elsevier).

Bisimulation Equivalence is Decidable for One-Counter Processes

by Petr Jančar,
Accepted for presentation at the 24th International Colloquium on Automata, Languages, and Programming (ICALP`97). May 1997, 13 pages.

Abstract:

It is shown that bisimulation equivalence is decidable for the processes generated by (nondeterministic) pushdown automata where the pushdown behaves like a counter, in fact. Also regularity, i.e. bisimulation equivalence with some finite-state process, is shown to be decidable for the mentioned processes.

Bisimilarity of Processes with Finite-state Systems

Abstract:

We describe a general method for deciding bisimilarity for pairs of processes where one process has finitely many states. We apply this method to pushdown processes and to PA processes. We also demonstrate that the mentioned problem is undecidable for `state-extended` PA processes.